Minimum or
maximum value Equation in
vertex form y=x^2
The minimum value of the equation y=x^2 in vertex form is 0.
This is because the vertex (the lowest point on the parabola) is at the origin (0,0). Any other point on the parabola will have a y-value greater than or equal to zero.
There is no maximum value for this equation, as the parabola continues infinitely upwards.
To find the minimum or maximum value of the equation y = x^2 in vertex form, we need to determine the value of the vertex.
The equation y = x^2 can be written in vertex form as y = a(x - h)^2 + k, where (h, k) represents the coordinates of the vertex.
In this case, since the equation is already in the form y = x^2, we can see that a = 1, h = 0, and k = 0.
Therefore, the vertex is located at (h, k) = (0, 0).
Since the coefficient of x^2 is positive, the parabola opens upwards and the vertex represents the minimum point.
Hence, the minimum value of the equation y = x^2 is 0.